Will this iBook run OS 10.5.8?

Just had this iBook fixed was running OS 10.5.8 for a month (no startup disks) ran a repair program macware tools pro and it would not start past a picture of my HD. repair people had to gedt CD ver. 10.4.5 to start it w/clean install.All mine were DVD. Said that was the recommended Ver. max for book? True? I'd like the higher OS.

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